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Localization in periodic potentials : from Schrödinger operators to the Gross-Pitaevskii equation / / Dmitry E. Pelinovsky [[electronic resource]]
| Localization in periodic potentials : from Schrödinger operators to the Gross-Pitaevskii equation / / Dmitry E. Pelinovsky [[electronic resource]] |
| Autore | Pelinovsky Dmitry |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2011 |
| Descrizione fisica | 1 online resource (x, 398 pages) : digital, PDF file(s) |
| Disciplina | 530.12/4 |
| Collana | London Mathematical Society lecture note series |
| Soggetto topico |
Schrödinger equation
Gross-Pitaevskii equations Localization theory |
| ISBN |
1-107-23231-7
9786613342591 1-139-16162-8 1-139-15781-7 1-139-16062-1 1-283-34259-6 1-139-15605-5 1-139-15957-7 0-511-99775-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Formalism of the nonlinear Schrödinger equations -- 2. Justification of the nonlinear Schrödinger equations -- 3. Existence of localized modes in periodic potentials -- 4. Stability of localized modes -- 5. Traveling localized modes in lattices -- Appendix A. Mathematical notations -- Appendix B. Selected topics of applied analysis. |
| Record Nr. | UNINA-9910457512503321 |
Pelinovsky Dmitry
|
||
| Cambridge : , : Cambridge University Press, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Localization in periodic potentials : from Schrödinger operators to the Gross-Pitaevskii equation / / Dmitry E. Pelinovsky [[electronic resource]]
| Localization in periodic potentials : from Schrödinger operators to the Gross-Pitaevskii equation / / Dmitry E. Pelinovsky [[electronic resource]] |
| Autore | Pelinovsky Dmitry |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2011 |
| Descrizione fisica | 1 online resource (x, 398 pages) : digital, PDF file(s) |
| Disciplina | 530.12/4 |
| Collana | London Mathematical Society lecture note series |
| Soggetto topico |
Schrödinger equation
Gross-Pitaevskii equations Localization theory |
| ISBN |
1-107-23231-7
9786613342591 1-139-16162-8 1-139-15781-7 1-139-16062-1 1-283-34259-6 1-139-15605-5 1-139-15957-7 0-511-99775-2 |
| Classificazione |
MAT000000
MAT 356f |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Formalism of the nonlinear Schrödinger equations -- 2. Justification of the nonlinear Schrödinger equations -- 3. Existence of localized modes in periodic potentials -- 4. Stability of localized modes -- 5. Traveling localized modes in lattices -- Appendix A. Mathematical notations -- Appendix B. Selected topics of applied analysis. |
| Record Nr. | UNINA-9910781860403321 |
|
Pelinovsky Dmitry
|
||
| Cambridge : , : Cambridge University Press, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Localization in periodic potentials : from Schrödinger operators to the Gross-Pitaevskii equation / / Dmitry E. Pelinovsky [[electronic resource]]
| Localization in periodic potentials : from Schrödinger operators to the Gross-Pitaevskii equation / / Dmitry E. Pelinovsky [[electronic resource]] |
| Autore | Pelinovsky Dmitry |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2011 |
| Descrizione fisica | 1 online resource (x, 398 pages) : digital, PDF file(s) |
| Disciplina | 530.12/4 |
| Collana | London Mathematical Society lecture note series |
| Soggetto topico |
Schrödinger equation
Gross-Pitaevskii equations Localization theory |
| ISBN |
1-107-23231-7
9786613342591 1-139-16162-8 1-139-15781-7 1-139-16062-1 1-283-34259-6 1-139-15605-5 1-139-15957-7 0-511-99775-2 |
| Classificazione |
MAT000000
MAT 356f |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Formalism of the nonlinear Schrödinger equations -- 2. Justification of the nonlinear Schrödinger equations -- 3. Existence of localized modes in periodic potentials -- 4. Stability of localized modes -- 5. Traveling localized modes in lattices -- Appendix A. Mathematical notations -- Appendix B. Selected topics of applied analysis. |
| Record Nr. | UNINA-9910813070103321 |
|
Pelinovsky Dmitry
|
||
| Cambridge : , : Cambridge University Press, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Localization in periodic potentials : from Schrodinger operators to the Gross-Pitaevskii equation / Dmitry E. Pelinovsky
| Localization in periodic potentials : from Schrodinger operators to the Gross-Pitaevskii equation / Dmitry E. Pelinovsky |
| Autore | Pelinovsky, Dmitry |
| Pubbl/distr/stampa | Cambridge, UK ; New York : Cambridge University Press, 2011 |
| Descrizione fisica | x, 398 p. : ill. ; 23 cm |
| Disciplina | 530.124 |
| Collana | London Mathematical Society lecture note series, 0076-0552 ; 390 |
| Soggetto topico |
Schrodinger equation
Gross-Pitaevskii equations Localization theory |
| ISBN | 9781107621541 |
| Classificazione |
AMS 35Q55
LC QC174.26.W28P45 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001807349707536 |
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Pelinovsky, Dmitry
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| Cambridge, UK ; New York : Cambridge University Press, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Nonlinear fractional Schrödinger equations in RN / / Vincenzo Ambrosio
| Nonlinear fractional Schrödinger equations in RN / / Vincenzo Ambrosio |
| Autore | Ambrosio Vincenzo |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2021] |
| Descrizione fisica | 1 online resource (669 pages) |
| Disciplina | 530.124 |
| Collana | Frontiers in Mathematics |
| Soggetto topico |
Gross-Pitaevskii equations
Fractional calculus Càlcul fraccional |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-60220-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466548003316 |
|
Ambrosio Vincenzo
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| Cham, Switzerland : , : Birkhäuser, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Nonlinear fractional Schrödinger equations in RN / / Vincenzo Ambrosio
| Nonlinear fractional Schrödinger equations in RN / / Vincenzo Ambrosio |
| Autore | Ambrosio Vincenzo |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2021] |
| Descrizione fisica | 1 online resource (669 pages) |
| Disciplina | 530.124 |
| Collana | Frontiers in Mathematics |
| Soggetto topico |
Gross-Pitaevskii equations
Fractional calculus Càlcul fraccional |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-60220-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910484470703321 |
|
Ambrosio Vincenzo
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| Cham, Switzerland : , : Birkhäuser, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Semiclassical standing waves with clustering peaks for nonlinear Schrödinger equations / / Jaeyoung Byeon, Kazunaga Tanaka
| Semiclassical standing waves with clustering peaks for nonlinear Schrödinger equations / / Jaeyoung Byeon, Kazunaga Tanaka |
| Autore | Byeon Jaeyoung <1966-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| Descrizione fisica | 1 online resource (104 p.) |
| Disciplina | 530.12/4 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Gross-Pitaevskii equations
Schrödinger equation Standing waves Cluster analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-1530-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""4.1. A choice of parameters and minimization""""4.2. Invariant new neighborhoods""; ""4.3. Width of a set Ì? ( â€?, â€?)â??Ì? ( â€?, â€?)""; ""Chapter 5. A gradient estimate for the energy functional""; ""5.1. -dependent concentration-compactness argument""; ""5.2. A gradient estimate""; ""5.3. Gradient flow of the energy functional Î?_{ }""; ""Chapter 6. Translation flow associated to a gradient flow of ( ) on \R^{ }""; ""6.1. A pseudo-gradient flow on \overline{ }_{3 â?€}( )^{â??â?€} associated to ( â??)+\cdots+ ( _{â??â?€})""
""6.2. Definition of a translation operator""""6.3. Properties of the translation operator""; ""Chapter 7. Iteration procedure for the gradient flow and the translation flow""; ""Chapter 8. An ( +1)â??â?€-dimensional initial path and an intersection result""; ""8.1. A preliminary path â?€""; ""8.2. An initial path _{1 }""; ""8.3. An intersection property""; ""Chapter 9. Completion of the proof of Theorem 1.3""; ""Chapter 10. Proof of Proposition 8.3""; ""10.1. An interaction estimate""; ""10.2. Preliminary asymptotic estimates""; ""10.3. Proof of Proposition 10.1"" ""Chapter 11. Proof of Lemma 6.1""""Chapter 12. Generalization to a saddle point setting""; ""12.1. Saddle point setting""; ""12.2. Proof of Theorem 12.1""; ""Acknowledgments""; ""Bibliography"" |
| Record Nr. | UNINA-9910481049203321 |
|
Byeon Jaeyoung <1966->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Semiclassical standing waves with clustering peaks for nonlinear Schrödinger equations / / Jaeyoung Byeon, Kazunaga Tanaka
| Semiclassical standing waves with clustering peaks for nonlinear Schrödinger equations / / Jaeyoung Byeon, Kazunaga Tanaka |
| Autore | Byeon Jaeyoung <1966-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| Descrizione fisica | 1 online resource (104 p.) |
| Disciplina | 530.12/4 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Gross-Pitaevskii equations
Schrödinger equation Standing waves Cluster analysis |
| ISBN | 1-4704-1530-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""4.1. A choice of parameters and minimization""""4.2. Invariant new neighborhoods""; ""4.3. Width of a set Ì? ( â€?, â€?)â??Ì? ( â€?, â€?)""; ""Chapter 5. A gradient estimate for the energy functional""; ""5.1. -dependent concentration-compactness argument""; ""5.2. A gradient estimate""; ""5.3. Gradient flow of the energy functional Î?_{ }""; ""Chapter 6. Translation flow associated to a gradient flow of ( ) on \R^{ }""; ""6.1. A pseudo-gradient flow on \overline{ }_{3 â?€}( )^{â??â?€} associated to ( â??)+\cdots+ ( _{â??â?€})""
""6.2. Definition of a translation operator""""6.3. Properties of the translation operator""; ""Chapter 7. Iteration procedure for the gradient flow and the translation flow""; ""Chapter 8. An ( +1)â??â?€-dimensional initial path and an intersection result""; ""8.1. A preliminary path â?€""; ""8.2. An initial path _{1 }""; ""8.3. An intersection property""; ""Chapter 9. Completion of the proof of Theorem 1.3""; ""Chapter 10. Proof of Proposition 8.3""; ""10.1. An interaction estimate""; ""10.2. Preliminary asymptotic estimates""; ""10.3. Proof of Proposition 10.1"" ""Chapter 11. Proof of Lemma 6.1""""Chapter 12. Generalization to a saddle point setting""; ""12.1. Saddle point setting""; ""12.2. Proof of Theorem 12.1""; ""Acknowledgments""; ""Bibliography"" |
| Record Nr. | UNINA-9910787196803321 |
|
Byeon Jaeyoung <1966->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Semiclassical standing waves with clustering peaks for nonlinear Schrödinger equations / / Jaeyoung Byeon, Kazunaga Tanaka
| Semiclassical standing waves with clustering peaks for nonlinear Schrödinger equations / / Jaeyoung Byeon, Kazunaga Tanaka |
| Autore | Byeon Jaeyoung <1966-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| Descrizione fisica | 1 online resource (104 p.) |
| Disciplina | 530.12/4 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Gross-Pitaevskii equations
Schrödinger equation Standing waves Cluster analysis |
| ISBN | 1-4704-1530-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""4.1. A choice of parameters and minimization""""4.2. Invariant new neighborhoods""; ""4.3. Width of a set Ì? ( â€?, â€?)â??Ì? ( â€?, â€?)""; ""Chapter 5. A gradient estimate for the energy functional""; ""5.1. -dependent concentration-compactness argument""; ""5.2. A gradient estimate""; ""5.3. Gradient flow of the energy functional Î?_{ }""; ""Chapter 6. Translation flow associated to a gradient flow of ( ) on \R^{ }""; ""6.1. A pseudo-gradient flow on \overline{ }_{3 â?€}( )^{â??â?€} associated to ( â??)+\cdots+ ( _{â??â?€})""
""6.2. Definition of a translation operator""""6.3. Properties of the translation operator""; ""Chapter 7. Iteration procedure for the gradient flow and the translation flow""; ""Chapter 8. An ( +1)â??â?€-dimensional initial path and an intersection result""; ""8.1. A preliminary path â?€""; ""8.2. An initial path _{1 }""; ""8.3. An intersection property""; ""Chapter 9. Completion of the proof of Theorem 1.3""; ""Chapter 10. Proof of Proposition 8.3""; ""10.1. An interaction estimate""; ""10.2. Preliminary asymptotic estimates""; ""10.3. Proof of Proposition 10.1"" ""Chapter 11. Proof of Lemma 6.1""""Chapter 12. Generalization to a saddle point setting""; ""12.1. Saddle point setting""; ""12.2. Proof of Theorem 12.1""; ""Acknowledgments""; ""Bibliography"" |
| Record Nr. | UNINA-9910807868703321 |
|
Byeon Jaeyoung <1966->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Stability of KAM tori for nonlinear Schrödinger equation / / Hongzi Cong, Jianjun Liu, Xiaoping Yuan
| Stability of KAM tori for nonlinear Schrödinger equation / / Hongzi Cong, Jianjun Liu, Xiaoping Yuan |
| Autore | Cong Hongzi <1982-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2015] |
| Descrizione fisica | 1 online resource (100 pages) |
| Disciplina | 530.12/4 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Gross-Pitaevskii equations
Nonlinear wave equations Perturbation (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-2751-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480924903321 |
|
Cong Hongzi <1982->
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||
| Providence, Rhode Island : , : American Mathematical Society, , [2015] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
